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1/2x+1=3/2x-8=
We move all terms to the left:
1/2x+1-(3/2x-8)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x-8)!=0We get rid of parentheses
x∈R
1/2x-3/2x+8+1=0
We multiply all the terms by the denominator
8*2x+1*2x+1-3=0
We add all the numbers together, and all the variables
8*2x+1*2x-2=0
Wy multiply elements
16x+2x-2=0
We add all the numbers together, and all the variables
18x-2=0
We move all terms containing x to the left, all other terms to the right
18x=2
x=2/18
x=1/9
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